clarf(3) [debian man page]
clarf.f(3) LAPACK clarf.f(3) NAME
clarf.f - SYNOPSIS
Functions/Subroutines subroutine clarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) CLARF Function/Subroutine Documentation subroutine clarf (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK) CLARF Purpose: CLARF applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau. Parameters: SIDE SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H M M is INTEGER The number of rows of the matrix C. N N is INTEGER The number of columns of the matrix C. V V is COMPLEX array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of H. V is not used if TAU = 0. INCV INCV is INTEGER The increment between elements of v. INCV <> 0. TAU TAU is COMPLEX The value tau in the representation of H. C C is COMPLEX array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'. LDC LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M). WORK WORK is COMPLEX array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R' Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 129 of file clarf.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 clarf.f(3)
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clatzm.f(3) LAPACK clatzm.f(3) NAME
clatzm.f - SYNOPSIS
Functions/Subroutines subroutine clatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) CLATZM Function/Subroutine Documentation subroutine clatzm (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C1, complex, dimension( ldc, * )C2, integerLDC, complex, dimension( * )WORK) CLATZM Purpose: This routine is deprecated and has been replaced by routine CUNMRZ. CLATZM applies a Householder matrix generated by CTZRQF to a matrix. Let P = I - tau*u*u**H, u = ( 1 ), ( v ) where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE = 'R'. If SIDE equals 'L', let C = [ C1 ] 1 [ C2 ] m-1 n Then C is overwritten by P*C. If SIDE equals 'R', let C = [ C1, C2 ] m 1 n-1 Then C is overwritten by C*P. Parameters: SIDE SIDE is CHARACTER*1 = 'L': form P * C = 'R': form C * P M M is INTEGER The number of rows of the matrix C. N N is INTEGER The number of columns of the matrix C. V V is COMPLEX array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of P. V is not used if TAU = 0. INCV INCV is INTEGER The increment between elements of v. INCV <> 0 TAU TAU is COMPLEX The value tau in the representation of P. C1 C1 is COMPLEX array, dimension (LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'. On exit, the first row of P*C if SIDE = 'L', or the first column of C*P if SIDE = 'R'. C2 C2 is COMPLEX array, dimension (LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix C2 if SIDE = 'R'. On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P if SIDE = 'R'. LDC LDC is INTEGER The leading dimension of the arrays C1 and C2. LDC >= max(1,M). WORK WORK is COMPLEX array, dimension (N) if SIDE = 'L' (M) if SIDE = 'R' Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 153 of file clatzm.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 clatzm.f(3)